Explore a self‑consistent approach to positron scattering by hydrogen that blends Hartree theory with correlation effects.
This work presents a method that advances beyond static and perturbative models, focusing on how the scattered particle and the target atom influence each other to form a coherent, physically meaningful description of the collision.
Readers will follow how the author builds a wave function that satisfies the proper boundary conditions, derives an effective one-particle Hamiltonian, and uses variational principles to account for induced multipole interactions. The discussion includes connections to the adiabatic approximation and practical numerical techniques for solving the resulting equations.
- See how self‑consistency and correlations are incorporated into the scattering framework.
- Learn how dipole polarization and induced potentials shape the interaction at low energies.
- Understand the role of the Kohn variational principle and how it yields tractable differential equations.
- Review numerical results for s‑wave scattering and how they compare with static models and prior theories.
Ideal for readers seeking a rigorous, methodical treatment of quantum scattering in atomic systems.